Answer:
Width of rectangle = 5 cm
Length of rectangle = 17 cm
Step-by-step explanation:
Let the dimensions of rectangle:
Width of rectangle = x
Length of rectangle = 3x+2
Area of rectangle = 85 cm
We need to find dimensions of rectangle i.e length and width.
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Putting values and finding dimensions
[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]
Now, finding value of x using quadratic formula:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have, a =3, b =2 and c=-85
[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]
So, we get x = 5 and x = -5.6
But since the width of rectangle cannot be negative so, we would consider x = 5
Now, the dimensions of rectangle will be:
Width of rectangle = x = 5 cm
Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm
Can someone help (8 grade math)
Answer:
B) 110.92 u²
Step-by-step explanation:
to find the surface area, find the area of each side and add them together.
here are all 6 sides:
4.5 * 6.8
4.5 * 6.8
4.5 * 2.2
4.5 * 2.2
2.2 * 6.8
2.2 * 6.8
4.5 * 6.8 = 30.6
4.5 * 6.8 = 30.6
4.5 * 2.2 = 9.9
4.5 * 2.2 = 9.9
2.2 * 6.8 = 14.96
2.2 * 6.8 = 14.96
30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96
110.92
In ARST, RS – TR and mZT = 15°. Find mZS.
Answer:
54
Step-by-step explanation:
help me please this one is timed faster
Answer:
The slope is 3 and the y-intercept is 2.
Step-by-step explanation:
Slope is 3/1, following the line up 3 and over 1. The line crosses the y-axis at (0,2), so the intercept is 2. The slope-intercept can then be written as y=3x+2.
What is the measure of an exterior angle of a regular 13-gon?
Step-by-step explanation:
Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.
Hence we have 360°/13 = 27.7° (1d.p.)
The measure of an exterior angle of a regular 13-gon is 27.69°.
What is a regular 13-gon?A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.
The given polygon is a regular 13-gon.
Therefore, all the exterior angles of this polygon are equal.
We know, each exterior angle of a regular polygon with 'n' sides is
= (360 / n)°
Here, n = 13.
Therefore, the value of each exterior angle
= (360 / 13)°
= 27.69°
Learn more about a polygon here:
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(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
Can y’all help me with this plz
Answer:
c
Step-by-step explanation:
6-9 questions that’s all
GIVING BRAINLIEST SOMENE PLS HELP IM FAILING
Answer:
[tex]\mathrm{D.\:} 7[/tex]
Step-by-step explanation:
A proportional function is given by [tex]y=kx[/tex] for some constant [tex]k[/tex]. We can plug any coordinate this line passes through to find this constant:
[tex]21=k(3),\\k=\fbox{$7$}[/tex].
Can someone help me I need it to be broken down
Answer:
[tex]x + 23 + x + 80 = 180 \\ 2x + 103 = 180 \\ 2x = 77 \\ x = 38.5[/tex]
4y + 10 = 5x 2.5x + 2y = -10
Answer:
are they seperate equations?
Step-by-step explanation:
Sadie's sweets is having a sale on all their baked goods they are regularly priced at $4 but they are marked down to $2.6 what percent off are they
Answer:
35% off
Step-by-step explanation:
= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%
Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%
2.6 is a 35% decrease of 4.
please help i dont know this question
[tex]x {}^{2} + 8x + 15 = 0[/tex]
[tex]x^2 -5x-3 x +15=0[/tex]
[tex]x(x-5)-3(x-5)=0[/tex]
[tex](x-5)(x-3)=0[/tex]
[tex]x=5,3[/tex]
Hope its Helpful!Answer: x = -3, -5
Step-by-step explanation:
Solve by Factoring
x^2 + 8x + 15 = 0
Factor x2 + 8x + 15 using the AC method.
Consider the form x2 + bx + c. Find a pair of i ntegers whose product is c and whose sum is b. In this case, whose product is 15 and whose sum is 8.
3, 5
Write the factored form using these integers.
(x + 3) (x + 5) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x + 3 = 0
x + 5 = 0
Set x + 3 equal to 0 and solve for x.
Set x + 3 equal to 0.
x + 3 = 0
Subtract 3 from both sides of the equation.
x = −3
Set x + 5 equal to 0 and solve for x.
Set x + 5 equal to 0.
x + 5 = 0
Subtract 5 from both sides of the equation.
x = −5
The final solution is all the values that make (x + 3) (x + 5) = 0 true.
x = −3, −5
what is root3(root3 - 1)
Answer:
3 - root3 or 3 - √3Step-by-step explanation:
root3(root3 - 1) =√3(√3 - 1) =√3(√3) - √3(1) = √3² - √3 =3 - √33 - root3[tex]\boxed{\blue{ 3-\sqrt{3} } }[/tex]
Step-by-step explanation:
[tex]\bold{\sqrt{3}(\sqrt{3}-1) }[/tex]
[tex]\bold{\sqrt{3}(\sqrt{3})-\sqrt{3}(1) }[/tex]
[tex]\bold{(\sqrt{3})^2-\sqrt{3} }[/tex]
[tex]\bold{ 3-\sqrt{3} }[/tex]
What is the slope of the line 6x + y = 24?
Answer:
-6
Step-by-step explanation:
You need to get it in Point-Slope form, or
y = mx + b
Isolate y by subtracting 6x
You are left with:
y = -6x + 24
M is the slope, so in this case, it is -6
Answer:
The slope is -6/1 but the slope-intercept form is y=-6x+24
Step-by-step explanation:
y=mx+b
6x+y=24
first you want to subtract 6x from each side.
y=-6x+24
m=-6x or -6/1
b= 24
y=x+5
x-5y=-9
Can someone please help ASAP
Your baseball team has won 6 game and lost 4 game.If the the team dosen;t lose anymore games how many games must the team win to have a win:the ration is 2:1 ? Explain your answer
Answer: 2 more games
Step-by-step explanation:
From the question, we are informed that a baseball team has won 6 game and lost 4 game.
We are further told that the team dosent lose anymore games and want to know the number of games they must win to have a ratio of 2:1.
Since they have lost 4 games and need a ratio of 2:1. This means we have to multiply the game lost by 2. This will be: = 4 × 2 = 8 games.
Since they've won 6 games already, they'll need to win = 8 - 6 = 2 games more.
a diagram shows y = x + 5 what description is correct an increase by 5/6 a decrease by 5/11?
Step-by-step explanation:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
148 ft above ground level
Answer: What??????
Step-by-step explanation:
Find the value of x. Round to the nearest tenth. Can you please give me the step by step?
Answer:
x = -4.4
Step-by-step explanation:
i hope this can explain?
Look for a Pattern: In a recent year. One United States dollar was equal to about 82 Japanese yen. How many Japanese Yen are equal to $100? $1,000? $10,000?
Answer:
[tex]\$100 = 8200\ Yen[/tex]
[tex]\$1000 = 82000\ Yen[/tex]
[tex]\$10000 = 820000\ Yen[/tex]
Step-by-step explanation:
Given
[tex]\$ 1 = 82\ Yen[/tex]
Solving (a): Equivalent of $100
Represent this with x.
So, we have:
[tex]\$100 = x[/tex] and
[tex]\$ 1 = 82\ Yen[/tex]
Cross Multiply:
[tex]x * \$1 = 82\ Yen * \$100[/tex]
[tex]x * 1 = 82\ Yen * 100[/tex]
[tex]x = 8,200\ Yen[/tex]
Hence:
[tex]\$100 = 8200\ Yen[/tex]
Solving (b): Equivalent of $1000
In (a)
[tex]\$100 = 8200\ Yen[/tex]
Multiply both sides by 10
[tex]10 *\$100 = 8200\ Yen * 10[/tex]
[tex]\$1000 = 82000\ Yen[/tex]
Solving (c): Equivalent of $1000
In (a)
[tex]\$100 = 8200\ Yen[/tex]
Multiply both sides by 100
[tex]100 *\$100 = 8200\ Yen * 100[/tex]
[tex]\$10000 = 820000\ Yen[/tex]
17c+7c-6c^6+2c^8 the polynomial standard form is _
Whats the product of 1/4 x 1/3
The Singapore Flyer is a giant observation
wheel with a seating capacity of 784
passengers. The number of passengers that
each capsule can carry is equal to the total
number of capsules on the Singapore Flyer.
Find the total number of
capsules on the Singapore Flyer.
Answer:
28
Step-by-step explanation:
Let x be the number of capsules on the Singapore Flyer.
Each capsule can carry x passengers.
Therefore x^2 = 784.
x = 28
The total number of capsules on the Singapore Flyer is 28.
To find total number of capsules on the Singapore Flyer.
What is volume?Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means the amount of three-dimensional space a closed figure can occupy is measured by its volume.
Given that:
Let x be the number of capsules on the Singapore Flyer.
Total capacity : 784 passengers.
Each capsule can carry x passengers.
Therefore x^2 = 784.
x = 28
So, the total number of capsules on the Singapore Flyer is 28.
Learn more about volume here:
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is the relationship between the side length of a square and the area of a square proportional?
Answer:
Students make in-out tables to assist them in noticing patterns and generalizing the mathematical relationships. Expect students to discover that area increases proportionally to the square of how much the side length increases.)
Please somebody help me with this
Answer:
the answer is C
Step-by-step explanation:
2x - 3y > -12
3x + 2y < or = 18
Write an expression for the sequence of operations described below.
add 3 and the sum of 9 and v
Do not simplify any part
the expression.
Submit
Answer:
We conclude that:
''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:
3 + 9 + vStep-by-step explanation:
Given the statement
''add 3 and the sum of 9 and v''
Let us break down the statement
Let the number be: vThe sum of 9 and v: 9+vso
Adding 3 and the sum of 9 and v will be: 3 + 9 + v
Therefore, we conclude that:
''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:
3 + 9 + vHello! I will give you fifteen points if you solve this correctly!
Answer:
mark each line about 1 in. apart
Plzzzzz give me Brainliest!!!!!
(BRAINLIEST)PLEASE HELP ASAP!!
Answer:
(0, 3), (2, -1), (-6, 15)
Step-by-step explanation:
I recommend you use desmos scientific calculator for these problems.
So first you'll wan't to plug in the expression:
y=-2x+3
Then you''l want to put x= then the domains.
x=0, 2 or -6. (it doesn't matter as long as you put them in one at a time.)
youll then get each answer as you plug the numbers in.
x=0 y=3
x=2 y=-1
x=-6 y=15
Sorry if it wasn't clear to understand I'm doing my work at the same time as helping others.
Challenge!
A. 13
B. 24
C. 6
D. 34
Answer:
A. 13.
Step-by-step explanation:
x + 9 = 2(3x - 38)
X + 9 = 6X - 76
85 = 5x
x = 85/5
x = 17
So RS = 3(17) - 38
= 51 - 38
= 13
Which equation has a graph that is parallel to the graph of 2x - y=-1?